
Exploring Linear Inequalities: Real-Life Applications
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered

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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a base fee of $30 plus $0.15 per mile driven. Write a linear inequality to represent the total cost (C) if a customer wants to spend no more than $60. Identify the slope and y-intercept.
30 + 0.15m ≤ 60; slope = 0.15, y-intercept = 30
30 + 0.10m ≤ 60; slope = 0.10, y-intercept = 30
30 + 0.15m ≥ 60; slope = 0.15, y-intercept = 30
20 + 0.15m ≤ 60; slope = 0.15, y-intercept = 20
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym membership costs $25 per month plus a one-time registration fee of $50. Write a linear inequality to show the maximum number of months (m) a person can afford if they have a budget of $200. What is the slope and intercept?
m <= 8; slope = -20, intercept = 50
m <= 5; slope = -25, intercept = 100
m <= 6; slope = -25, intercept = 50
m <= 4; slope = -30, intercept = 50
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip and has a budget of $500. The cost per student is $20. Write a linear inequality to represent the number of students (s) that can attend the trip. Identify the slope and y-intercept.
25s <= 500, slope: -25, y-intercept: 500
20s <= 500, slope: -20, y-intercept: 500
15s <= 500, slope: -15, y-intercept: 500
20s >= 500, slope: 20, y-intercept: 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local bakery sells cupcakes for $3 each. If they want to make at least $150 in sales, write a linear inequality to represent the number of cupcakes (c) they need to sell. What is the slope and intercept?
3c >= 150; slope: 0, intercept: 150
3c <= 150; slope: 0, intercept: 50
c > 50; slope: 1, intercept: 150
c < 50; slope: 3, intercept: 0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $40 per month plus $0.10 per text message. If a customer wants to keep their monthly bill under $60, write a linear inequality for the number of text messages (t) they can send. Identify the slope and intercept.
t < 150
t < 100
t < 200
t < 250
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write a linear inequality to represent the total revenue (R) if they want to earn at least $8000. What is the slope and intercept?
10x >= 8000; slope = 10, intercept = 0
20x >= 10000; slope = 20, intercept = 500
20x >= 8000; slope = 20, intercept = 0
20x <= 8000; slope = 0, intercept = 20
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer sells apples for $2 per pound. If they want to earn at least $300, write a linear inequality to represent the number of pounds of apples (p) they need to sell. Identify the slope and intercept.
p <= 150; slope: 1, intercept: 0
2p < 300; slope: 2, intercept: 300
2p >= 300; slope: 2, intercept: 0
3p >= 300; slope: 3, intercept: 0
Tags
CCSS.6.EE.B.8
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